|
1
|
1
|
Sep 19, 2022
|
14:00
|
2
|
B230
|
Introduction to differential calculus -Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence..
|
RNDr. Eva Feuerstein, Ph.D.
|
|
2
|
1
|
Sep 26, 2022
|
14:00
|
2
|
B230
|
Real function of one real variable, elementary functions review, operations on functions, properties of a function, composite functions, inverse function, limit of a function, one sided limits.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
3
|
1
|
Oct 3, 2022
|
14:00
|
2
|
B230
|
Application of a limit, asymptotes of a function, continuity of a function, derivative of a function, rules for differentiation.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
4
|
1
|
Oct 10, 2022
|
14:00
|
2
|
B230
|
Tangent and normal lines of a function, differential of a function, derivative of composite functions, L'Hospital’s rule.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
5
|
1
|
Oct 17, 2022
|
14:00
|
2
|
B230
|
Higher order derivatives, function monotonicity, local extremes, concavity/convexity of a function, points of inflection, investigation of function behavior.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
6
|
1
|
Oct 24, 2022
|
14:00
|
2
|
B230
|
Taylor Polynomial. Approximation of a function by Taylor polynomial.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
7
|
1
|
Oct 31, 2022
|
14:00
|
2
|
B230
|
Number series, convergence, divergence, geometric series, alternating series. Criteria of convergence.
|
RNDr. Eva Feuerstein, Ph.D.
|
|
8
|
1
|
Nov 7, 2022
|
14:00
|
2
|
B230
|
Linear algebra – Matrix intro. Gaussian elimination for solving a system of linear algebraic equations.
|
Ing. Václav Petrák, Ph.D.
|
|
9
|
1
|
Nov 14, 2022
|
14:00
|
2
|
B230
|
Linear combination of vectors, linear dependence or independence of a set of vectors. Span of a set of vectors, vector space, vector subspace, basis and dimension of vector space/subspace.
|
Ing. Václav Petrák, Ph.D.
|
|
10
|
1
|
Nov 21, 2022
|
14:00
|
2
|
B230
|
Matrices, various examples of matrices, rank of a matrix, matrix operations, square matrices and properties, inverse of a matrix.
|
Ing. Václav Petrák, Ph.D.
|
|
11
|
1
|
Nov 28, 2022
|
14:00
|
2
|
B230
|
Determinant of a square matrix, Sarrus’ rule, Laplace expansion with respect to a row or to a column. Gauss-Jordan elimination for calculation an inverse of a given matrix.
|
Ing. Václav Petrák, Ph.D.
|
|
12
|
1
|
Dec 5, 2022
|
14:00
|
2
|
B230
|
Matrix equations. Solvability of a linear algebraic equation system (LAES), Frobenius theorem, calculation of all solutions of LAES. Cramer’s rule for solving LAES with regular matrix.
|
Ing. Václav Petrák, Ph.D.
|
|
13
|
1
|
Dec 12, 2022
|
14:00
|
2
|
B230
|
Applications of Linear Algebra and Differential Calculus in solving real life problems. Part 1 Autonomous systems and Eigenvalues and eigenvectors
|
Ing. Václav Petrák, Ph.D.
|
|
14
|
1
|
Jan 9, 2023
|
14:00
|
2
|
B230
|
Applications of Linear Algebra and Differential Calculus in solving real life problems. Part 2 Conics and quadrics and their invariants and classification using determinants.
|
Ing. Václav Petrák, Ph.D.
|